English

Shifted symplectic higher Lie groupoids and classifying spaces

Differential Geometry 2022-12-07 v2 Symplectic Geometry

Abstract

We introduce the concept of mm-shifted symplectic Lie nn-groupoids and symplectic Morita equivalences between them. We then build various models for the 2-shifted symplectic structure on the classifying stack in this setting and construct explicit symplectic Morita equivalences between them.

Keywords

Cite

@article{arxiv.2112.01417,
  title  = {Shifted symplectic higher Lie groupoids and classifying spaces},
  author = {Miquel Cueca and Chenchang Zhu},
  journal= {arXiv preprint arXiv:2112.01417},
  year   = {2022}
}

Comments

45 pages, with appendix E by Florian Dorsch, typo corrected, text improved

R2 v1 2026-06-24T08:01:59.885Z